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<h3 class="heading"><span class="type">Paragraph</span></h3>
<p>Consider</p>
<div class="displaymath process-math" data-contains-math-knowls="">
\begin{equation}
y^{\prime \prime}+p(x) y^{\prime}+q(x) y={g(x)},\tag{7.1.1}
\end{equation}
</div>
<p class="continuation">over the interval <span class="process-math">\(x\in[x_1,x_2]\)</span> with the <dfn class="terminology">boundary conditions</dfn>(B.C.’s)</p>
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\begin{equation}
y({x_1})={y_1},\quad y({x_2})={y_2}\tag{7.1.2}
\end{equation}
</div>
<p class="continuation">which is called a <dfn class="terminology">two-point boundary value problem</dfn>(BVP).</p>
<span class="incontext"><a href="sec7_1.html#p-300" class="internal">in-context</a></span>
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